quadrilateral.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Quadrilateral Analysis**

**Objective**: Determine the most precise name for each quadrilateral. Explain why.

**Diagrams and Descriptions**:

1. **Top Left Quadrilateral**:
   - Features: All sides are of equal length, and all angles are right angles (indicated by the small square marks at each corner).
   - Most Precise Name: Square
   - Explanation: A quadrilateral with four equal sides and four right angles.

2. **Top Right Quadrilateral**:
   - Features: All sides are of equal length, but there are no right angles.
   - Most Precise Name: Rhombus
   - Explanation: A quadrilateral with all sides equal but not necessarily right angles.

3. **Middle Left Quadrilateral**:
   - Features: All sides are of equal length; all angles are right angles.
   - Most Precise Name: Square
   - Explanation: Identical to the top left quadrilateral.

4. **Middle Right Quadrilateral**:
   - Features: Opposite sides are of equal length (indicated by pairs of marks), but not all angles are right angles.
   - Most Precise Name: Parallelogram
   - Explanation: A quadrilateral with opposite sides equal and parallel.

5. **Bottom Left Quadrilateral**:
   - Features: Two pairs of consecutive sides are equal.
   - Most Precise Name: Kite
   - Explanation: A quadrilateral with two distinct pairs of adjacent equal-length sides.

6. **Bottom Right Quadrilateral**:
   - Features: All sides are of equal length and angles appear to be right angles.
   - Most Precise Name: Square
   - Explanation: Similar to the squares described above.

**Note**:
Each diagram is a line drawing representing a specific type of quadrilateral, distinguished by marks indicating equal sides or angles.
Transcribed Image Text:**Quadrilateral Analysis** **Objective**: Determine the most precise name for each quadrilateral. Explain why. **Diagrams and Descriptions**: 1. **Top Left Quadrilateral**: - Features: All sides are of equal length, and all angles are right angles (indicated by the small square marks at each corner). - Most Precise Name: Square - Explanation: A quadrilateral with four equal sides and four right angles. 2. **Top Right Quadrilateral**: - Features: All sides are of equal length, but there are no right angles. - Most Precise Name: Rhombus - Explanation: A quadrilateral with all sides equal but not necessarily right angles. 3. **Middle Left Quadrilateral**: - Features: All sides are of equal length; all angles are right angles. - Most Precise Name: Square - Explanation: Identical to the top left quadrilateral. 4. **Middle Right Quadrilateral**: - Features: Opposite sides are of equal length (indicated by pairs of marks), but not all angles are right angles. - Most Precise Name: Parallelogram - Explanation: A quadrilateral with opposite sides equal and parallel. 5. **Bottom Left Quadrilateral**: - Features: Two pairs of consecutive sides are equal. - Most Precise Name: Kite - Explanation: A quadrilateral with two distinct pairs of adjacent equal-length sides. 6. **Bottom Right Quadrilateral**: - Features: All sides are of equal length and angles appear to be right angles. - Most Precise Name: Square - Explanation: Similar to the squares described above. **Note**: Each diagram is a line drawing representing a specific type of quadrilateral, distinguished by marks indicating equal sides or angles.
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